0.05/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.05/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s 0.10/0.31 % Computer : n010.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.31 % WCLimit : 120 0.10/0.31 % DateTime : Thu Jul 2 07:34:12 EDT 2020 0.10/0.31 % CPUTime : 0.16/0.40 openjdk version "1.8.0_171" 0.16/0.40 OpenJDK Runtime Environment (build 1.8.0_171-b10) 0.16/0.40 OpenJDK 64-Bit Server VM (build 25.171-b10, mixed mode) 0.16/0.41 file=/export/starexec/sandbox2/benchmark/theBenchmark.p 0.58/0.65 start to proof:theBenchmark 0.62/0.69 %------------------------------------------- 0.62/0.69 % File :CSE---1.3 0.62/0.69 % Problem :theBenchmark 0.62/0.69 % Transform :cnf 0.62/0.69 % Format :tptp:raw 0.62/0.69 % Command :java -jar mcs_scs.jar %d %s 0.62/0.69 0.62/0.69 % Result :Theorem 0.000000s 0.62/0.69 % Output :CNFRefutation 0.000000s 0.62/0.69 %------------------------------------------- 0.62/0.69 fof('ass(cond(61, 0), 0)',axiom,( 0.62/0.69 ! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79) )). 0.62/0.69 0.62/0.69 fof('def(cond(conseq(105), 0), 1)',axiom,( 0.62/0.69 ! [Vd151,Vd152] : 0.62/0.69 ( ( ? [Vd157] : vplus(Vd151,Vd157) = Vd152 0.62/0.69 | ? [Vd155] : vplus(Vd152,Vd155) = Vd151 0.62/0.69 | Vd151 = Vd152 ) 0.62/0.69 <=> m(Vd152) ) )). 0.62/0.69 0.62/0.69 fof('holds(110, 166, 0)',axiom,( 0.62/0.69 m(vd165) )). 0.62/0.69 0.62/0.69 fof('ass(cond(6, 0), 0)',axiom,( 0.62/0.69 ! [Vd7,Vd8] : 0.62/0.69 ( Vd7 != Vd8 0.62/0.69 => vsucc(Vd7) != vsucc(Vd8) ) )). 0.62/0.69 0.62/0.69 fof('ass(cond(20, 0), 0)',axiom,( 0.62/0.69 ! [Vd24] : 0.62/0.69 ( vsucc(vskolem2(Vd24)) = Vd24 0.62/0.69 <= v1 != Vd24 ) )). 0.62/0.69 0.62/0.69 fof('ass(cond(conseq(110), 0), 1)',axiom, 0.62/0.69 ( vd165 = vd151 0.62/0.69 => vplus(vd151,v1) = vplus(vd165,v1) )). 0.62/0.69 0.62/0.69 fof('ass(cond(104, 0), 0)',axiom,( 0.62/0.69 ! [Vd144,Vd145] : 0.62/0.69 ( ~ ? [Vd149] : vplus(Vd144,Vd149) = Vd145 0.62/0.69 | Vd144 != Vd145 ) )). 0.62/0.69 0.62/0.69 fof('holds(109, 164, 0)',axiom,( 0.62/0.69 m(v1) )). 0.62/0.69 0.62/0.69 fof('ass(cond(12, 0), 0)',axiom,( 0.62/0.69 ! [Vd16] : Vd16 != vsucc(Vd16) )). 0.62/0.69 0.62/0.69 fof('ass(cond(52, 0), 0)',axiom,( 0.62/0.69 ! [Vd68,Vd69] : vsucc(vplus(Vd68,Vd69)) = vplus(vsucc(Vd68),Vd69) )). 0.62/0.70 0.62/0.70 fof('ass(cond(81, 0), 0)',axiom,( 0.62/0.70 ! [Vd104,Vd105] : 0.62/0.70 ( ! [Vd107] : vplus(Vd107,Vd104) != vplus(Vd107,Vd105) 0.62/0.70 <= Vd105 != Vd104 ) )). 0.62/0.70 0.62/0.70 fof('qu(restrictor(axiom(1)), holds(scope(axiom(1)), 2, 0))',axiom,( 0.62/0.70 ! [Vd1] : vsucc(Vd1) != v1 )). 0.62/0.70 0.62/0.70 fof('qu(antec(axiom(3)), imp(antec(axiom(3))))',axiom,( 0.62/0.70 ! [Vd3,Vd4] : 0.62/0.70 ( Vd4 = Vd3 0.62/0.70 <= vsucc(Vd3) = vsucc(Vd4) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 1), 1)',axiom,( 0.62/0.70 ! [Vd170] : 0.62/0.70 ( ( vplus(vsucc(vd165),vskolem3) = vplus(vplus(vd165,v1),vskolem3) 0.62/0.70 <= v1 != Vd170 ) 0.62/0.70 <= vplus(vd165,Vd170) = vd151 ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 1), 3)',axiom,( 0.62/0.70 ! [Vd170] : 0.62/0.70 ( vd151 = vplus(vd165,Vd170) 0.62/0.70 => ( v1 != Vd170 0.62/0.70 => vd151 = vplus(vd165,vplus(v1,vskolem3)) ) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 0), 0)',axiom, 0.62/0.70 ( vd151 = vd165 0.62/0.70 => m(vsucc(vd165)) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 0), 2)',axiom, 0.62/0.70 ( vd151 = vd165 0.62/0.70 => vplus(vd165,v1) = vsucc(vd165) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 1), 7)',axiom,( 0.62/0.70 ! [Vd170] : 0.62/0.70 ( vplus(vd165,Vd170) = vd151 0.62/0.70 => ( Vd170 = v1 0.62/0.70 => vsucc(vd165) = vplus(vd165,v1) ) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(104, 0), 1)',axiom,( 0.62/0.70 ! [Vd144,Vd145] : 0.62/0.70 ( ~ ? [Vd147] : Vd144 = vplus(Vd145,Vd147) 0.62/0.70 | ~ ? [Vd149] : vplus(Vd144,Vd149) = Vd145 ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 1), 6)',axiom,( 0.62/0.70 ! [Vd170] : 0.62/0.70 ( ( Vd170 = v1 0.62/0.70 => m(vsucc(vd165)) ) 0.62/0.70 <= vd151 = vplus(vd165,Vd170) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(43, 0), 0)',axiom,( 0.62/0.70 ! [Vd59] : vsucc(Vd59) = vplus(v1,Vd59) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 1), 5)',axiom,( 0.62/0.70 ! [Vd170] : 0.62/0.70 ( ( Vd170 = vsucc(vskolem3) 0.62/0.70 <= Vd170 != v1 ) 0.62/0.70 <= vd151 = vplus(vd165,Vd170) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(104, 0), 2)',axiom,( 0.62/0.70 ! [Vd144,Vd145] : 0.62/0.70 ( Vd145 != Vd144 0.62/0.70 | ~ ? [Vd147] : vplus(Vd145,Vd147) = Vd144 ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(proof(97), 0), 0)',axiom,( 0.62/0.70 ! [Vd127,Vd128] : 0.62/0.70 ~ ? [Vd140,Vd142] : 0.62/0.70 ( Vd127 = vplus(Vd128,Vd140) 0.62/0.70 & vplus(Vd127,Vd142) = Vd128 ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 1), 0)',axiom,( 0.62/0.70 ! [Vd170] : 0.62/0.70 ( vplus(vd165,Vd170) = vd151 0.62/0.70 => ( m(vsucc(vd165)) 0.62/0.70 <= Vd170 != v1 ) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 2), 0)',axiom,( 0.62/0.70 ! [Vd180] : 0.62/0.70 ( m(vsucc(vd165)) 0.62/0.70 <= vd165 = vplus(vd151,Vd180) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(proof(97), 0), 1)',axiom,( 0.62/0.70 ! [Vd127,Vd128,Vd135,Vd137] : 0.62/0.70 ~ ( vplus(Vd128,Vd135) = Vd127 0.62/0.70 & Vd128 = vplus(Vd127,Vd137) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 2), 2)',axiom,( 0.62/0.70 ! [Vd180] : 0.62/0.70 ( vplus(vd151,Vd180) = vd165 0.62/0.70 => vsucc(vplus(vd151,Vd180)) = vsucc(vd165) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 1), 8)',axiom,( 0.62/0.70 ! [Vd170] : 0.62/0.70 ( ( v1 = Vd170 0.62/0.70 => vd151 = vplus(vd165,v1) ) 0.62/0.70 <= vd151 = vplus(vd165,Vd170) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 2), 1)',axiom,( 0.62/0.70 ! [Vd180] : 0.62/0.70 ( vd165 = vplus(vd151,Vd180) 0.62/0.70 => vplus(vd151,vsucc(Vd180)) = vsucc(vplus(vd151,Vd180)) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(proof(97), 0), 2)',axiom,( 0.62/0.70 ! [Vd127,Vd128] : 0.62/0.70 ~ ? [Vd133] : 0.62/0.70 ( vplus(Vd127,Vd133) = Vd128 0.62/0.70 & Vd127 = Vd128 ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 1), 4)',axiom,( 0.62/0.70 ! [Vd170] : 0.62/0.70 ( vd151 = vplus(vd165,Vd170) 0.62/0.70 => ( vplus(v1,vskolem3) = vsucc(vskolem3) 0.62/0.70 <= v1 != Vd170 ) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(110), 1), 2)',axiom,( 0.62/0.70 ! [Vd170] : 0.62/0.70 ( ( v1 != Vd170 0.62/0.70 => vplus(vplus(vd165,v1),vskolem3) = vplus(vd165,vplus(v1,vskolem3)) ) 0.62/0.70 <= vplus(vd165,Vd170) = vd151 ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(33, 0), 0)',axiom,( 0.62/0.70 ! [Vd46,Vd47,Vd48] : vplus(vplus(Vd46,Vd47),Vd48) = vplus(Vd46,vplus(Vd47,Vd48)) )). 0.62/0.70 0.62/0.70 fof('dis(case_distinction(conseq(110)))',conjecture, 0.62/0.70 ( ? [Vd170] : vplus(vd165,Vd170) = vd151 0.62/0.70 | vd165 = vd151 0.62/0.70 | ? [Vd180] : vd165 = vplus(vd151,Vd180) )). 0.62/0.70 0.62/0.70 fof('ass(cond(73, 0), 0)',axiom,( 0.62/0.70 ! [Vd92,Vd93] : vplus(Vd92,Vd93) != Vd93 )). 0.62/0.70 0.62/0.70 fof('ass(cond(proof(97), 0), 3)',axiom,( 0.62/0.70 ! [Vd127,Vd128] : 0.62/0.70 ~ ? [Vd130] : 0.62/0.70 ( Vd127 = Vd128 0.62/0.70 & Vd127 = vplus(Vd128,Vd130) ) )). 0.62/0.70 0.62/0.70 fof('qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))',axiom,( 0.62/0.70 ! [Vd42,Vd43] : 0.62/0.70 ( vsucc(Vd42) = vplus(Vd42,v1) 0.62/0.70 & vplus(Vd42,vsucc(Vd43)) = vsucc(vplus(Vd42,Vd43)) ) )). 0.62/0.70 0.62/0.70 fof('ass(cond(conseq(105), 1), 0)',axiom,( 0.62/0.70 ! [Vd159] : 0.62/0.70 ( ( ? [Vd162] : 0.62/0.70 ( vsucc(Vd162) = vplus(v1,Vd162) 0.62/0.70 & vsucc(Vd162) = vd151 0.62/0.70 & vplus(Vd159,Vd162) = vplus(v1,Vd162) ) 0.62/0.70 | ( v1 = vd151 0.62/0.70 & Vd159 = v1 ) ) 0.62/0.70 <= Vd159 = v1 ) )). 0.62/0.70 0.62/0.70 %------------------------------------------- 0.62/0.70 % Proof found 0.62/0.70 % SZS status Theorem for theBenchmark 0.62/0.70 % SZS output start Proof 0.62/0.70 %ClaNum:51(EqnAxiom:12) 0.62/0.70 %VarNum:70(SingletonVarNum:36) 0.62/0.70 %MaxLitNum:4 0.62/0.70 %MaxfuncDepth:2 0.62/0.70 %SharedTerms:17 0.62/0.70 %goalClause: 20 21 23 0.62/0.70 %singleGoalClaCount:3 0.62/0.70 [13]P1(a1) 0.62/0.70 [14]P1(a2) 0.62/0.70 [20]~E(a6,a1) 0.62/0.70 [21]~E(f7(a6,x211),a1) 0.62/0.70 [23]~E(f7(a1,x231),a6) 0.62/0.70 [24]~E(f7(x241,a2),x241) 0.62/0.70 [16]E(f7(x161,x162),f7(x162,x161)) 0.62/0.70 [25]~E(f7(x251,x252),x252) 0.62/0.70 [18]E(f7(f7(x181,x182),a2),f7(f7(x181,a2),x182)) 0.62/0.70 [19]E(f7(f7(x191,x192),x193),f7(x191,f7(x192,x193))) 0.62/0.70 [27]E(a2,x271)+E(f7(f8(x271),a2),x271) 0.62/0.70 [26]P1(x261)+~E(x262,x261) 0.62/0.70 [39]E(x391,x392)+~E(f7(x391,a2),f7(x392,a2)) 0.62/0.70 [30]~E(x301,x302)+~E(x301,f7(x302,x303)) 0.62/0.70 [33]~E(x331,x332)+~E(f7(x331,x333),x332) 0.62/0.70 [35]P1(x351)+~E(f7(x351,x352),x353) 0.62/0.70 [43]E(x431,x432)+~E(f7(x433,x431),f7(x433,x432)) 0.62/0.70 [47]~E(x471,f7(x472,x473))+~E(f7(x471,x474),x472) 0.62/0.70 [28]~E(x281,a2)+E(a6,a2)+E(f7(f3(x281),a2),a6) 0.62/0.70 [51]~P1(x511)+E(x511,x512)+E(f7(x512,f4(x512,x511)),x511)+E(f7(x511,f5(x512,x511)),x512) 0.62/0.70 %EqnAxiom 0.62/0.70 [1]E(x11,x11) 0.62/0.70 [2]E(x22,x21)+~E(x21,x22) 0.62/0.70 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33) 0.62/0.70 [4]~E(x41,x42)+E(f7(x41,x43),f7(x42,x43)) 0.62/0.70 [5]~E(x51,x52)+E(f7(x53,x51),f7(x53,x52)) 0.62/0.70 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63)) 0.62/0.70 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72)) 0.62/0.70 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83)) 0.62/0.70 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92)) 0.62/0.70 [10]~E(x101,x102)+E(f3(x101),f3(x102)) 0.62/0.70 [11]~E(x111,x112)+E(f8(x111),f8(x112)) 0.62/0.70 [12]~P1(x121)+P1(x122)+~E(x121,x122) 0.62/0.70 0.62/0.70 %------------------------------------------- 0.62/0.70 cnf(52,plain, 0.62/0.70 (P1(x521)), 0.62/0.70 inference(equality_inference,[],[26])). 0.62/0.70 cnf(57,plain, 0.62/0.70 ($false), 0.62/0.70 inference(scs_inference,[],[52,20,23,21,51]), 0.62/0.70 ['proof']). 0.62/0.70 % SZS output end Proof 0.62/0.70 % Total time :0.000000s 0.62/0.71 EOF